Finding the Third Proportional to 55,616 and 117,760

Step by Step Solution

1. Step 1: Write the proportion equation
   55,616 : 117,760 = 117,760 : x
2. Step 2: Convert to fraction form
   55,616/117,760 = 117,760/x
3. Step 3: Cross multiply
   55,616x = 117,760 × 117,760
4. Step 4: Simplify right side
   55,616x = 13,867,417,600
5. Step 5: Solve for x
   x = 13,867,417,600/55,616
6. Step 6: Final answer
   x = 249,342.23